Community

Support local problem solving programs by contributing to the Art of Problem Solving Foundation.
Click here for more information about the Foundation.
Login Register Memberlist Search AoPS Blogs Contests Galleries Forum Index
The time now is Tue Oct 07, 2008 2:43 am
All times are UTC - 7 (DST in action)
AoPSWiki WoWPartition (combinatorics), Pick's Theorem
View posts since last visit
View unanswered posts
Baire's category Theorem
Moderators: College Playground Moderators
Post new topic   Reply to topic View previous topicView next topic
7 Posts • Page 1 of 1
Author Message
the game
Riemann Hypothesis
Riemann Hypothesis

Offline
Joined: 17 Feb 2005
Posts: 298
Location: india
India
 
#1
Baire's category Theorem

Can any 1 here use cantor's little theorem & digonalisation theorem to prove baire's theorem & godel's 2nd incompleteness theorem.

PostPosted: Sat Feb 19, 2005 10:39 am  Back to top 
  ProfilePMWWW
the game
Riemann Hypothesis
Riemann Hypothesis

Offline
Joined: 17 Feb 2005
Posts: 298
Location: india
India
 
#2
Re: Baire's category Theorem

the game wrote:
Can any 1 here use cantor's little theorem & digonalisation theorem to prove baire's theorem & godel's 2nd incompleteness theorem.


Well this question is here for days & heres no reply.
Cmon guys any ideas..

PostPosted: Tue Mar 01, 2005 11:55 am  Back to top 
  ProfilePMWWW
grobber
Birch & Swinnerton Dyer
Birch & Swinnerton Dyer

Offline
Joined: 07 Apr 2003
Posts: 7851
Location: Romania
Romania
 
#3
Could you please define all the terms you have used? For instance, I've never heard about "Cantor's little theorem", even though I'm sure I know what you mean. Anyway, it's better to have all the terms defined.

PostPosted: Tue Mar 01, 2005 11:59 am  Back to top 
  ProfilePM
the game
Riemann Hypothesis
Riemann Hypothesis

Offline
Joined: 17 Feb 2005
Posts: 298
Location: india
India
 
#4
Ok heres the cantor's little theorem:
Let A,B be sets & f:AxA->B such that all functions g:A->B are representable by f.Then every function :theta: B->B has a fixed point.

PostPosted: Tue Mar 01, 2005 12:06 pm  Back to top 
  ProfilePMWWW
Myth
Birch & Swinnerton Dyer
Birch & Swinnerton Dyer


Offline
Joined: 02 Sep 2003
Posts: 4418
Location: Chelyabinsk, Russia
Russian Federation
 
#5
"all functions g:A->B are representable by f" Confused
_________________
Myth is out of here

PostPosted: Tue Mar 01, 2005 12:18 pm  Back to top 
  ProfilePM
grobber
Birch & Swinnerton Dyer
Birch & Swinnerton Dyer

Offline
Joined: 07 Apr 2003
Posts: 7851
Location: Romania
Romania
 
#6
I don't know what that means either, I was wrong Smile. However, I have found this article online. I'm going to read it (it treats precisely the subject here: Cantor's Little Theorem and his diagonalization), and, hopefully, it will shed light on this.

PostPosted: Tue Mar 01, 2005 12:20 pm  Back to top 
  ProfilePM
the game
Riemann Hypothesis
Riemann Hypothesis

Offline
Joined: 17 Feb 2005
Posts: 298
Location: india
India
 
#7
grobber wrote:
I don't know what that means either, I was wrong Smile. However, I have found this article online. I'm going to read it (it treats precisely the subject here: Cantor's Little Theorem and his diagonalization), and, hopefully, it will shed light on this.


Well i certainly hope you have seen it.But the article you are seeing is from where I got the idea.I regularly take this magazine. I am waiting for your reply.

PostPosted: Tue Mar 08, 2005 11:32 am  Back to top 
  ProfilePMWWW
Display posts from previous:   Sort by:   
7 Posts • Page 1 of 1
Post new topic   Reply to topic View previous topicView next topic
Jump to:  

You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum
You cannot attach files in this forum
You can download files in this forum
You cannot post calendar events in this forum


© Copyright 2008 AoPS Incorporated. All Rights Reserved. • FoundationPrivacyContact Us